Question

prove √3+√2+1 is irrational
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Answer 1

Step-by-step explanation:

let's assume √3+√2 +1 as rational.

then √3+√2+1 = a+b

now, √3 = a/b - (√2+1)

√3 = a-b(√2+1)/b

this shows that √3 is rational, as it has more than 1 common factor, but as we know that √3 is irrational.

this contradiction has arisen due to our wrong assumption that √3+√2+1 is rational.

therefore, √3+√2+1 is irrational.

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